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  4. A wire is bent in the form of a triangle now the equivalent resistance R between its one end and the midpoint of the side is

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Q. A wire is bent in the form of a triangle now the equivalent resistance R between its one end and the midpoint of the side isPhysics Question Image

Rajasthan PMTRajasthan PMT 2009

Solution:

Resistances $ R,\,\,R $ and $ \frac{R}{2} $ are in series, their resultant resistance, $ R=R+R+\frac{R}{2}=\frac{5R}{2} $ Resistances $ R $ and $ \frac{R}{2} $ are in parallel. Their resultant resistance $ \frac{1}{R}=\frac{2}{5R}+\frac{2}{R}=\frac{2+10}{5R} $ $ R=\frac{5R}{12} $